On the local étale fundamental group of KLT threefold singularities

Javier Carvajal-Rojas, Axel Stäbler, János Kollár

Research output: Contribution to journalArticlepeer-review


Let S be a KLT threefold singularity over an algebraically closed field of positive characteristic p?> 5. We prove that its local étale fundamental group is tame and finite. Further, we show that every finite unipotent torsor over a big open subset of S is realized as the restriction of a finite unipotent torsor over S.

Original languageEnglish (US)
Pages (from-to)694-728
Number of pages35
JournalAlgebraic Geometry
Issue number6
StatePublished - 2023

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology


  • F-regularity
  • Kawamata log terminal
  • Kollár components
  • étale fundamental group


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